Intermediate Coherent-entangled State Representation: Generation and its applications
Qin Guo, Li-ying Jiang, Cun-jin Liu, Ming Cai, Li-yun Hu

TL;DR
This paper introduces the intermediate coherent-entangled state (ICES) representation generated via beam splitter and Fresnel transform, exploring its properties and applications in quantum optics.
Contribution
It proposes a novel entangled state representation, analyzes its mathematical properties, and demonstrates its applications in squeezing operators and operator identities.
Findings
Defined the eigenvalue, completeness, and orthogonality of ICES
Derived a new squeezing operator using ICES
Established operator identities based on ICES
Abstract
By combining the beam splitter and the Fresnel transform, a protocol is proposed to generate a new entangled state representation, called the intermediate coherent-entangled state (ICES) representation. The properties, such as eigenvalue equation, completeness relation and orthogonal relation, are investigated. The conjugate state representation of the ICES and the Schmidt decomposing of the ICES are also discussed. As applications, a new squeezing operator and some operator identities by using the ICES are obtained.
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Taxonomy
TopicsQuantum Information and Cryptography · Orbital Angular Momentum in Optics · Optical Network Technologies
